Results 1 to 10 of about 3,286,440 (286)
On conformally symmetric warped products
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004 We prove the necessary and sufficient conditions for a warped product manifold to be conformally symmetric. Basing on these results we give two examples of such warped products.
Marian Hotloś
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On Bernstein’s Problem of Complete Parabolic Hypersurfaces in Warped Products
Advances in Mathematical Physics, 2023 We study constant mean curvature hypersurfaces constructed over the fiber Mn of warped products I×fMn. In this setting, assuming that the sign of the angle function does not changed along the hypersurfaces, we infer the uniqueness of such hypersurfaces ...
Ning Zhang, Zhangsheng Zhu
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On Warped Product Pointwise Pseudo-Slant Submanifolds of LCK-Manifolds and Their Applications
AxiomsThe concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped
Fatimah Alghamdi
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Entanglement entropy in internal spaces and Ryu-Takayanagi surfaces
Journal of High Energy Physics, 2023 We study minimum area surfaces associated with a region, R, of an internal space. For example, for a warped product involving an asymptotically AdS space and an internal space K, the region R lies in K and the surface ends on ∂R.
Sumit R. Das +5 more
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On Bernstein-Type Theorems in Semi-Riemannian Warped Products
Advances in Mathematical Physics, 2013 Complete spacelike hypersurfaces immersed in semi-Riemannian warped products are investigated. By using a technique according to Yau (1976) and a reasonable restriction on the mean curvature of the hypersurfaces, we obtain some new Bernstein-type ...
Wenjie Wang, Ximin Liu
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The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions
Mathematics, 2019 In the present paper, we study twisted and warped products of Riemannian manifolds. As an application, we consider projective submersions of Riemannian manifolds, since any Riemannian manifold admitting a projective submersion is necessarily a twisted ...
Vladimir Rovenski +2 more
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AxiomsWe investigate Ricci–Bourguignon solitons on mixed doubly sequential warped product manifolds. Necessary and sufficient conditions for the existence of such solitons are established, and their implications for Einstein manifolds are analyzed.
Ayman Elsharkawy +3 more
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Pointwise hemi-slant warped product submanifolds in nearly Kaehler manifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this paper, we introduce the notion of pointwise hemi-slant sub-manifolds of nearly Kaehler manifolds. Further, we study their warped products and prove the necessary and sufficient condition that a point-wise hemi-slant submanifold to be a warped ...
Alqahtani Lamia Saeed +2 more
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On the Topology of Warped Product Manifolds Minimally Immersed into a Sphere
AxiomsIn this paper, we investigate the geometry and topology of compact warped product minimal submanifolds of arbitrary codimension immersed in a sphere.
Fatimah Alghamdi, Muhammad Altanji
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Super Quasi-Einstein Warped Products Manifolds with Respect to Affine Connections
AxiomsIn this paper, we investigate warped products on super quasi-Einstein manifolds under affine connections. We explore their fundamental properties, establish conditions for their existence, and prove that these manifolds can also be nearly quasi-Einstein ...
Mohd Vasiulla +3 more
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